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We equip the edges of a deterministic graph $H$ with independent but not necessarily identically distributed weights and study a generalized version of matchings (i.e. a set of vertex disjoint edges) in $H$ satisfying the property that…

Probability · Mathematics 2021-08-18 Ghurumuruhan Ganesan

Multiple types of inference are available for probabilistic graphical models, e.g., marginal, maximum-a-posteriori, and even marginal maximum-a-posteriori. Which one do researchers mean when they talk about "planning as inference"? There is…

Artificial Intelligence · Computer Science 2025-01-15 Miguel Lázaro-Gredilla , Li Yang Ku , Kevin P. Murphy , Dileep George

At least two, different approaches to define and solve statistical models for the analysis of economic systems exist: the typical, econometric one, interpreting the Gravity Model specification as the expected link weight of an arbitrary…

Physics and Society · Physics 2023-11-06 Marzio Di Vece , Diego Garlaschelli , Tiziano Squartini

In most data-scientific approaches, the principle of Maximum Entropy (MaxEnt) is used to a posteriori justify some parametric model which has been already chosen based on experience, prior knowledge or computational simplicity. In a…

Methodology · Statistics 2022-06-29 Orestis Loukas , Ho Ryun Chung

Recent work in graph models has found that probabilistic hyperedge replacement grammars (HRGs) can be extracted from graphs and used to generate new random graphs with graph properties and substructures close to the original. In this paper,…

Social and Information Networks · Computer Science 2018-06-22 Xinyi Wang , Salvador Aguinaga , Tim Weninger , David Chiang

We show that maximum entropy (maxent) models can be modeled with certain kinds of HMMs, allowing us to construct maxent models with hidden variables, hidden state sequences, or other characteristics. The models can be trained using the…

Artificial Intelligence · Computer Science 2013-01-07 Joshua Goodman

Incorporating constraints is a major concern in probabilistic machine learning. A wide variety of problems require predictions to be integrated with reasoning about constraints, from modelling routes on maps to approving loan predictions.…

Machine Learning · Computer Science 2020-01-31 Ioannis Papantonis , Vaishak Belle

This paper compares the performances of three supervised machine learning algorithms in terms of predictive ability and model interpretation on structured or tabular data. The algorithms considered were scikit-learn implementations of…

Machine Learning · Statistics 2022-05-06 Alice J. Liu , Arpita Mukherjee , Linwei Hu , Jie Chen , Vijayan N. Nair

We propose NM landscapes as a new class of tunably rugged benchmark problems. NM landscapes are well-defined on alphabets of any arity, including both discrete and real-valued alphabets, include epistasis in a natural and transparent…

Neural and Evolutionary Computing · Computer Science 2014-09-04 Narine Manukyan , Margaret J. Eppstein , Jeffrey S. Buzas

We consider the structured-output prediction problem through probabilistic approaches and generalize the "perturb-and-MAP" framework to more challenging weighted Hamming losses, which are crucial in applications. While in principle our…

Machine Learning · Statistics 2018-11-22 Tatiana Shpakova , Francis Bach , Anton Osokin

In the study of economic networks, econometric approaches interpret the traditional Gravity Model specification as the expected link weight coming from a probability distribution whose functional form can be chosen arbitrarily, while…

Physics and Society · Physics 2024-05-15 Marzio Di Vece , Diego Garlaschelli , Tiziano Squartini

The links between the mean families of Lehmer and H\"older and the weighted maximum likelihood estimator have recently been established in the case of a regular univariate exponential family. In this article, we will extend the outcomes…

Statistics Theory · Mathematics 2024-05-03 Djemel Ziou , Issam Fakir

When characterizing materials, it can be important to not only predict their mechanical properties, but also to estimate the probability distribution of these properties across a set of samples. Constitutive neural networks allow for the…

Computational Engineering, Finance, and Science · Computer Science 2025-03-18 Jeremy A. McCulloch , Ellen Kuhl

We consider multi-class classification where the predictor has a hierarchical structure that allows for a very large number of labels both at train and test time. The predictive power of such models can heavily depend on the structure of…

Machine Learning · Statistics 2017-03-06 Yacine Jernite , Anna Choromanska , David Sontag

This paper compares two different ways of estimating statistical language models. Many statistical NLP tagging and parsing models are estimated by maximizing the (joint) likelihood of the fully-observed training data. However, since these…

Computation and Language · Computer Science 2007-05-23 Mark Johnson

We describe a generative probabilistic model of natural language, which we call HBG, that takes advantage of detailed linguistic information to resolve ambiguity. HBG incorporates lexical, syntactic, semantic, and structural information…

cmp-lg · Computer Science 2008-02-03 Ezra Black , Fred Jelinek , John Lafferty , David M. Magerman , Robert Mercer , Salim Roukos

In many safety-critical settings, probabilistic ML systems have to make predictions subject to algebraic constraints, e.g., predicting the most likely trajectory that does not cross obstacles. These real-world constraints are rarely convex,…

Machine Learning · Computer Science 2026-02-11 Leander Kurscheidt , Gabriele Masina , Roberto Sebastiani , Antonio Vergari

We study the problem of estimating the covariance parameters of a one-dimensional Gaussian process with exponential covariance function under fixed-domain asymptotics. We show that the weighted pairwise maximum likelihood estimator of the…

Statistics Theory · Mathematics 2019-07-15 François Bachoc , Moreno Bevilacqua , Daira Velandia

Concerning different approaches to automatic PoS tagging: EngCG-2, a constraint-based morphological tagger, is compared in a double-blind test with a state-of-the-art statistical tagger on a common disambiguation task using a common tag…

cmp-lg · Computer Science 2008-02-03 Christer Samuelsson , Atro Voutilainen

Machine Learning (ML) inspired algorithms provide a flexible set of tools for analyzing and forecasting chaotic dynamical systems. We here analyze the performance of one algorithm for the prediction of extreme events in the two-dimensional…

Machine Learning · Computer Science 2020-02-25 Martin Lellep , Jonathan Prexl , Moritz Linkmann , Bruno Eckhardt
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